SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2696, 2139, 1869, 2796, 2797, 2880, 1627
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00073

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "9.81"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 14,
      "rows_produced_per_join": 14,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2696,2139,1869,2796,2797,2880,1627)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "8.41",
        "eval_cost": "1.40",
        "prefix_cost": "9.81",
        "data_read_per_join": "23K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
1627 yaichnaya-upakovka-zheltyy-100sht-agro-ekologiya 286/389
1869 konteyner-kr-26-2-av-21511575-300-sht-kor 294/298
2139 kr-11a-konteyner-pischevoy-140-h-110-h-65-mm-up-500-sht 294/298
2696 ip-14-upakovka-dlya-tortov-dno-i-kryshka-250h140h92-up280 267/567
2796 konteyner-kr-6-15813767-450sht-up 294/298
2797 konteyner-kr-7-a-21513572-400sht-up 294/298
2880 lanch-boks-lb-max-2-h-sekc-belyy-25519070-100sht 285